Finite Group Databasebeta

← Group #424597

Character table — Group #424597

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222222888888888888888888888888888816161616161616161616161616161616
order12442222222444444422224444444444448888888888884444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ511111111111111111111-1-111-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1
χ9111111111111111111-1-111-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ10111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ12111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ17222222-2-2-22-22-2-222-2-22-2002-2000000000000002i2i−2i−2i00000000000000002i−2i00
χ18222222-2-2-22-22-2-222-2-22-2002-200000000000000−2i−2i2i2i0000000000000000−2i2i00
χ19222222-2-2-22-22-2-222-2-2-2200-22000000000000002i2i−2i−2i0000000000000000−2i2i00
χ20222222-2-2-22-22-2-222-2-2-2200-2200000000000000−2i−2i2i2i00000000000000002i−2i00
χ2122222-22-2-2-2222-2-2-2-2200000000000022-2-222-2-20000000000002-20000000000
χ2222222-22-2-2-2222-2-2-2-2200000000000022-2-2-2-222000000000000-220000000000
χ2322222-22-2-2-2222-2-2-2-22000000000000-2-22222-2-2000000000000-220000000000
χ2422222-22-2-2-2222-2-2-2-22000000000000-2-222-2-2220000000000002-20000000000
χ252222-2-2-22-222-22-22-22-2002-2002-222-2-200000000000000002-200000000000000
χ262222-2-2-22-222-22-22-22-2002-2002-2-2-2220000000000000000-2200000000000000
χ272222-2-2-22-222-22-22-22-200-2200-2222-2-20000000000000000-2200000000000000
χ282222-2-2-22-222-22-22-22-200-2200-22-2-22200000000000000002-200000000000000
χ2922-2-22222222-2-2-2-2-2-2-2000000002-22-2000000002i−2i2i−2i0000000000000000002i−2i
χ3022-2-22222222-2-2-2-2-2-2-2000000002-22-200000000−2i2i−2i2i000000000000000000−2i2i
χ3122-2-22222222-2-2-2-2-2-2-200000000-22-22000000002i−2i2i−2i000000000000000000−2i2i
χ3222-2-22222222-2-2-2-2-2-2-200000000-22-2200000000−2i2i−2i2i0000000000000000002i−2i
χ3322-2-222-2-2-22-2-222-2-2220000000000002i−2i2i−2i00002-2-220000000000002i−2i000000
χ3422-2-222-2-2-22-2-222-2-2220000000000002i−2i2i−2i0000-222-2000000000000−2i2i000000
χ3522-2-222-2-2-22-2-222-2-222000000000000−2i2i−2i2i00002-2-22000000000000−2i2i000000
χ3622-2-222-2-2-22-2-222-2-222000000000000−2i2i−2i2i0000-222-20000000000002i−2i000000
χ3722-2-22-2-222-2-2-22-222-22002-200-2200002i−2i−2i2i0000000000000000002i−2i00000000
χ3822-2-22-2-222-2-2-22-222-22002-200-220000−2i2i2i−2i000000000000000000−2i2i00000000
χ3922-2-22-2-222-2-2-22-222-2200-22002-200002i−2i−2i2i000000000000000000−2i2i00000000
χ4022-2-22-2-222-2-2-22-222-2200-22002-20000−2i2i2i−2i0000000000000000002i−2i00000000
χ4122-2-2-2222-2-2-22222-2-2-22-222-22-2-20000000000000000000000000000002-20000
χ4222-2-2-2222-2-2-22222-2-2-22-2-2-2-2222000000000000000000000000000000-220000
χ4322-2-2-2222-2-2-22222-2-2-2-22222-2-2-2000000000000000000000000000000-220000
χ4422-2-2-2222-2-2-22222-2-2-2-22-2-22-2220000000000000000000000000000002-20000
χ4522-2-2-22-2-22-222-2-22-2222200-2-200000000002-22-200000000002-2000000000000
χ4622-2-2-22-2-22-222-2-22-2222200-2-20000000000-22-220000000000-22000000000000
χ4722-2-2-22-2-22-222-2-22-222-2-2002200000000002-22-20000000000-22000000000000
χ4822-2-2-22-2-22-222-2-22-222-2-200220000000000-22-2200000000002-2000000000000
χ4922-2-2-2-2-22-2222-22-22-22000000002-2-2200002-2-22000022-2-20000000000000000
χ5022-2-2-2-2-22-2222-22-22-22000000002-2-220000-222-20000-2-2220000000000000000
χ5122-2-2-2-2-22-2222-22-22-2200000000-222-200002-2-220000-2-2220000000000000000
χ5222-2-2-2-2-22-2222-22-22-2200000000-222-20000-222-2000022-2-20000000000000000
χ5344444-4-444-4-44-44-4-44-400000000000000000000000000000000000000000000
χ544444-4444-4-4-4-4-4-4-444400000000000000000000000000000000000000000000
χ554444-44-4-44-44-444-44-4-400000000000000000000000000000000000000000000
χ564444-4-44-444-4-4-444-4-4400000000000000000000000000000000000000000000
χ5744-4-44-44-4-4-44-4-44444-400000000000000000000000000000000000000000000
χ5844-4-4-4-44-444-444-4-444-400000000000000000000000000000000000000000000
χ598-88i−8i000000000000000000000000000000000000002i2−2i222−220000000000000000
χ608-88i−8i00000000000000000000000000000000000000−2i22i2−22220000000000000000
χ618-8−8i8i000000000000000000000000000000000000002i2−2i2−22220000000000000000
χ628-8−8i8i00000000000000000000000000000000000000−2i22i222−220000000000000000

Here i is the imaginary unit (i² = −1).